For which values of x is the expression undefined? (3x-12)/(x^(2)-25)

Define Undefined Rational Expression: Determine when a rational expression is undefined. A rational expression is undefined when its denominator is equal to zero, since division by zero is not allowed in mathematics.Identify Denominator: Identify the denominator of the given expression. The denominator of the given expression is x^2 - 25.Set Denominator to Zero: Set the denominator equal to zero to find the values of x that make the expression undefined. x^2 - 25 = 0Solve Denominator Equation: Solve the equation from Step 3. x^2 - 25 = 0 can be factored into (x - 5)(x + 5) = 0.Find Values of x: Find the values of x that make each factor equal to zero. Setting each factor equal to zero gives us two equations: x - 5 = 0 and x + 5 = 0.Solve Equations for x: Solve each equation for x. Solving x - 5 = 0 gives x = 5. Solving x + 5 = 0 gives x = -5.

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For which values of x is the expression undefined?
(3x-12)/(x^(2)-25)

For which values of $\mathrm{x}$ is the expression undefined? $\newline$ $\frac{3 x-12}{x^{2}-25}$

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Algebra 2

Sin, cos, and tan of special angles

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Q. For which values of

\mathrm{x}

is the expression undefined?

\newline

\frac{3 x-12}{x^{2}-25}

Define Undefined Rational Expression: Determine when a rational expression is undefined. $\newline$ A rational expression is undefined when its denominator is equal to $0$ , since division by $0$ is not allowed in mathematics.
Identify Denominator: Identify the denominator of the given expression. $\newline$ The denominator of the given expression is $x^2 - 25$ .
Set Denominator to Zero: Set the denominator equal to zero to find the values of $x$ that make the expression undefined. $x^2 - 25 = 0$
Solve Denominator Equation: Solve the equation from Step $3$ . $\newline$ $x^2 - 25 = 0$ can be factored into $(x - 5)(x + 5) = 0$ .
Find Values of x: Find the values of $x$ that make each factor equal to zero. $\newline$ Setting each factor equal to zero gives us two equations: $\newline$ $x - 5 = 0$ and $x + 5 = 0$ .
Solve Equations for x: Solve each equation for x. $\newline$ Solving $x - 5 = 0$ gives $x = 5$ . $\newline$ Solving $x + 5 = 0$ gives $x = -5$ .